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On the physical interpretation of fractional diffusion

Article dans une revue avec comité de lecture
Author
NADAL, Enrique
300772 Universitat Politècnica de València = Universitad Politecnica de Valencia = Polytechnic University of Valencia [UPV]
ccCUETO, Elias
95355 Universidad de Zaragoza = University of Zaragoza [Saragossa University] = Université de Saragosse
ccABISSET-CHAVANNE, Emmanuelle
111023 École Centrale de Nantes [ECN]
ccCHINESTA SORIA, Francisco
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]

URI
http://hdl.handle.net/10985/13278
DOI
10.1016/j.crme.2018.04.004
Date
2018
Journal
Comptes Rendus Mécanique

Abstract

Even if the diffusion equation has been widely used in physics and engineering, and its physical content is well understood, some variants of it escape fully physical understanding. In particular, anormal diffusion appears in the so-called fractional diffusion equation, whose main particularity is its non-local behavior, whose physical interpretation represents the main part of the present work.

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